27001175040 has 880 divisors, whose sum is σ = 112992827904. Its totient is φ = 6038323200.

The previous prime is 27001175039. The next prime is 27001175077. The reversal of 27001175040 is 4057110072.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27001174995 and 27001175013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 206115775 + ... + 206115905.

Almost surely, 2^27001175040 is an apocalyptic number.

27001175040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27001175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56496413952).

27001175040 is an abundant number, since it is smaller than the sum of its proper divisors (85991652864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27001175040 is a wasteful number, since it uses less digits than its factorization.

27001175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 27001175040 in words is "twenty-seven billion, one million, one hundred seventy-five thousand, forty".